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Finding the Fourth Proportional to 6,952.26, 9,594.08 and 3,968.14

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Solution

The fourth proportional to 6,952.26, 9,594.08 and 3,968.14 is: 5,476.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.26 : 9,594.08 = 3,968.14 : x
  2. Step 2: Convert to fraction form
    6,952.26/9,594.08 = 3,968.14/x
  3. Step 3: Cross multiply
    6,952.26x = 9,594.08 × 3,968.14
  4. Step 4: Simplify right side
    6,952.26x = 38,070,652.61
  5. Step 5: Solve for x
    x = 38,070,652.61/6,952.26
  6. Step 6: Final answer
    x = 5,476.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.